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Finding the Fourth Proportional to 5,204.35, 7,801.05 and 3,229.97

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Solution

The fourth proportional to 5,204.35, 7,801.05 and 3,229.97 is: 4,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.35 : 7,801.05 = 3,229.97 : x
  2. Step 2: Convert to fraction form
    5,204.35/7,801.05 = 3,229.97/x
  3. Step 3: Cross multiply
    5,204.35x = 7,801.05 × 3,229.97
  4. Step 4: Simplify right side
    5,204.35x = 25,197,157.47
  5. Step 5: Solve for x
    x = 25,197,157.47/5,204.35
  6. Step 6: Final answer
    x = 4,841.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.